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12001222101220 = 225113671063139831
BaseRepresentation
bin1010111010100100000010…
…0101001000100011100100
31120111022020210200021111121
42232221000211020203210
53033112000324214340
641305141343543324
72346026320500562
oct256510045104344
946438223607447
1012001222101220
113907765006610
121419b00bbab44
136909309519c1
142d6c10022a32
1515c2a537494a
hexaea409488e4

12001222101220 has 96 divisors (see below), whose sum is σ = 27594755629056. Its totient is φ = 4348064188800.

The previous prime is 12001222101163. The next prime is 12001222101221. The reversal of 12001222101220 is 2210122210021.

It is a happy number.

It is a super-2 number, since 2×120012221012202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001222101194 and 12001222101203.

It is not an unprimeable number, because it can be changed into a prime (12001222101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85756705 + ... + 85896535.

It is an arithmetic number, because the mean of its divisors is an integer number (287445371136).

Almost surely, 212001222101220 is an apocalyptic number.

12001222101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001222101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797377814528).

12001222101220 is an abundant number, since it is smaller than the sum of its proper divisors (15593533527836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12001222101220 is a wasteful number, since it uses less digits than its factorization.

12001222101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141281 (or 141279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12001222101220 its reverse (2210122210021), we get a palindrome (14211344311241).

The spelling of 12001222101220 in words is "twelve trillion, one billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 367 734 1063 1468 1835 2126 3670 4037 4252 5315 7340 8074 10630 11693 16148 20185 21260 23386 40370 46772 58465 80740 116930 139831 233860 279662 390121 559324 699155 780242 1398310 1538141 1560484 1950605 2796620 3076282 3901210 4291331 6152564 7690705 7802420 8582662 15381410 17165324 21456655 30762820 42913310 51317977 85826620 102635954 148640353 205271908 256589885 297280706 513179770 564497747 594561412 743201765 1026359540 1128995494 1486403530 1635043883 2257990988 2822488735 2972807060 3270087766 5644977470 6540175532 8175219415 11289954940 16350438830 32700877660 54551009551 109102019102 218204038204 272755047755 545510095510 600061105061 1091020191020 1200122210122 2400244420244 3000305525305 6000611050610 12001222101220